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Finding the Third Proportional to 128,220 and 199,050

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Solution

The third proportional to 128,220 and 199,050 is: 309,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,220 : 199,050 = 199,050 : x
  2. Step 2: Convert to fraction form
    128,220/199,050 = 199,050/x
  3. Step 3: Cross multiply
    128,220x = 199,050 × 199,050
  4. Step 4: Simplify right side
    128,220x = 39,620,902,500
  5. Step 5: Solve for x
    x = 39,620,902,500/128,220
  6. Step 6: Final answer
    x = 309,007.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.